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Tcecarenko [31]
2 years ago
13

Factor the expression:

Mathematics
1 answer:
Dovator [93]2 years ago
6 0

Answer:

  B)  (4x-5i)(4x+5i)

Step-by-step explanation:

The expression can be treated as the difference of squares, and factored accordingly. That factoring is ...

  a² -b² = (a -b)(a +b)

__

Here, we have ...

  a² -b² = 16x² -(-25)

  a² = 16x²   ⇒   a = 4x

  b² = -25   ⇒   b = √-25 = 5i

Then the factoring is ...

  (a -b)(a +b) = (4x -5i)(4x +5i)

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Lostsunrise [7]

Answer:

A.

{b}^{2}  + 3b - 3 = 0

Step-by-step explanation:

{b}^{2}  + 3b - 3 = 0 \\ because \:  \:  {b}^{2}  < 4ac \\ {b}^{2}    = {3}^{2}  = 9 \\ 4ac = 4 \times 1 \times  - 3 =  - 12 \\ hence :  {b}^{2}  < 4ac

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2 years ago
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3 years ago
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A Copy of machine produces 80 copies in 5 minutes. How many copies would be produced in 40 minutes?
BlackZzzverrR [31]
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3 years ago
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5 0
3 years ago
Find the with of a triangle as a 15 cm high in a hypogynous of a 19 cm​
Inessa05 [86]

Answer:

This other side of the triangle is equal to about 11.7 cm

Step-by-step explanation:

In order to find out the third side of the triangle we will just use the Pythagoras Theorem.

c^{2} =a^{2} + b^{2}

Since we know the hypotenuse and we know one of the legs, in order to find the second leg we just substitute the values and solve the equation and so we get...

c^{2} =a^{2} + b^{2}\\19^{2} = 15^{2} + b^{2}\\361 = 225 + b^{2} \\

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2 years ago
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